What is the slope of a line that is parallel to the line 2x + 4y = 16 ?​

Accepted Solution

Answer:-1/2Step-by-step explanation:In order to most easily see the slope, you must out the equation into slope-intercept form: y=mx+bm- the slopeb- y-intercept-----------------------------------1. isolate the y (move all terms besides y and its coefficient to the other side of the equal sign) Make sure to flip the sign when switching sides 4y= -2x+162. Divide the equation by 4 in order to completely isolate a single y. 4/4 = 1 (so just y). 16/4=4. -2/4= -1/2 3. Final equation is y= -1/2x + 4. The slope is -1/2 because that represents the m in the equation.--------------------------------------------If a line is parallel to another line, then they must have the same slope but different y- intercept; or else they would just be the same line